Three people are invited to participate in a seminar. Assume all four people arrives independently, and the probability of any one of them is late is 0.2. Let X be the number of late participants of the seminar. . Find the distribution (pmf) of X. Calculate the mean and the variance of X.
Q: Assume that X and Y are two random independent random variables with mean 2 and 3 and variance 2 and…
A:
Q: Suppose that a variable of a population has a reverse-J-shaped distribution and that two simple…
A: Given variable of a population has a reverse J- shaped distribution. Any sample distribution will be…
Q: and X, be independent normally distributed random variables. X,has a normal distribution with mean 1…
A: Introduction - Z-score z=x-μσwhere , μ=population mean x=score σ=standard deviation +
Q: Fourty six percent of the students in a class of 150 are planning to graduate school, Find the…
A: Answer: From the given data, Sample size(n) = 150 Forty six percent of the students are planning to…
Q: If the range of X is the set {0,1,2,3,4} and given that each outcomes are equally like to occur,…
A:
Q: P b. 0.9 C. Od. 0.5
A: It is an important part of statistics. It is widely used.
Q: The probabilities that a customer buys 1, 2, 3, 5, 8 apples each day in a grocery store are 0.20,…
A: Given information- We have given the probability distribution for customer who buys apples each day…
Q: .A contractor builds four-unit apartment with construction time follows a normal distribution.…
A:
Q: x is a normally distributed random variable with a mean of 3 and a variance of 4. Find the…
A: Given that X follows a normal distribution with mean=3 and variance=4. So standard deviation=4=2We…
Q: Assume the probability that a maple tree at age 5 grows less than 150 cm is equal to 0.3. If the…
A: Given Data: Let X represent the height of the maple tree P(X<150)=0.3 σ=64=8
Q: and second components meet specifications are 0.96 and 0.89, respectively. Let X be the number of…
A: The random variable X defines the number of components in the assembly that meet specification.
Q: A basket has 10 pink balls. 11 blue and 13 red. Pick a random ball. X= -2 if pink, X = 0 if blue…
A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…
Q: 2. A department store receives an average of 5 returned items per day. The probability that a…
A: A discrete random variable X is said to follow Poisson distribution with parameter , if its…
Q: Four dice are rolled. Let X; be the value of the ith roll. Let Y = X1X2X3X4 be the product of the…
A:
Q: Suppose that you draw a random sample from a population where you know the population mean is 36 and…
A:
Q: a. [3] What is the probability that V runs a race in less than 14 seconds? b. [3] What is the…
A: Given: V , W and P are three independent and normally distributed. E( V) = 15 E( W)= 16.2 E( P)=…
Q: Jill and Pete come to the bookstore and each of them can buy one English-Chinese dictionary with the…
A:
Q: On any given morning, Joe eats 0, 1, or 2 eggs, with probabilities 0.2, 0.5, and 0.3, respectively,…
A:
Q: Assume the probability that a maple tree at age 5 grows less than 170 cm is equal to 0.25. If the…
A: Given that, P(X<170) = 0.25 We know that 0.25 is the 60th percentile for normal distribution, Or…
Q: a. Find the mean and variance of the probability distribution. b. Interpret the mean and the…
A: here given discrete probability distribution of X=number of android phones
Q: In a recently conducted survey, workers reported driving an average of 36 miles one way on their…
A: Given Population mean = 36miles Population standard deviation =5
Q: Jessica hypothesizes that giraffes will look longer at human infants than at adults. In her zoo, she…
A: It is given that Jessica hypothesizes that giraffes will look longer at human infants than at adults…
Q: An electronic scale at an automated filling operation stops the manufacturing line after three…
A: Given : An electronic scale at an automated filling operation stops the manufacturing line after…
Q: 2. A department store receives an average of 5 returned items per day. The probability that a…
A: A discrete random variable X is said to follow Poisson distribution with parameter λλ, if its…
Q: Thirteen percent of U.S. employees who are late for work blame oversleeping. You randomly select…
A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…
Q: | variance of X
A:
Q: The months of July to October are considered rainy season in the Philippines as multiple weather…
A: E(X)=∑ixi p(xi)E(X)=0×0.12+(1×0.20)+(2×0.33)+(3×0.25)+(4×0.10)E(X)=0+0.20+0.66+0.75+0.4E(X)=2.01
Q: IV. The table below shows the number of students who visit the library per day. X 30 45 52 55 60 16.…
A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: Derive the variance of the Student's t distribution.
A:
Q: The following table lists the probability distribution of the number of student taken course per…
A: We will use following formulae : Mean : μ = ∑ xP(x) Variance : σ2 = ∑(x-μ)2P(x)
Q: c. Let X denote a random variable with mean 4 and variance 2.5. If Y = 2X, calculate the mean and…
A: For a defined random variable Z, and a constant a, using the properties of expectation (or mean), it…
Q: 3. Derive the variance of the F distribution.
A:
Q: A researcher wants to know if there is a difference between the mean amount of sleep that people get…
A: The following table regarding mean amount of sleep is given. Unemployed Part Time Worker Full…
Q: e Find the variance of the error in the measured temperature.
A: 3. variance of the error inn the measured temperature is 2....
Step by step
Solved in 2 steps
- 2. A department store receives an average of 5 returned items per day. The probability that a returned item has an available replacement is 0.65. [Hint: there are two separate distributions here.] d. e. f. Calculate the probability that there are 4 returned items and none has available replacements in a certain day. Calculate the variance and the mean of the returned items. Calculate the variance and the mean of the replaced items. 2Which of the plots below show a zero correlation between random variables x and y? A. a B. b C. c D. d 1b. Which plot below show an r = -1? A. a B. b C. c D. d2. A department store receives an average of 5 returned items per day. The probability that a returned item has an available replacement is 0.65. [Hint: there are two separate distributions here.] d. e. f. Calculate the probability that there are 4 returned items and none has available replacements in a certain day. Calculate the variance and the mean of the returned items. Calculate the variance and the mean of the replaced items. 2
- Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.0 minutes and standard deviation of 1.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n¡ = 47 customers in the first line and n2 = 49 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X1 and the mean service time for the longer one X2 is more than 0.6 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = iRyan is throwing a football through a tire in his backyard. He has the probability of .30 of throwing the ball through the tire on each attempt, and each attempt is independent of the one before. Draw the graph of the PDF for the first five attempts. What does the graph tell you about the mean and standard deviation?Suppose X, Y and Z are 3 random variables. The mean of X is 2. The mean of Y is 3. The mean of Z is 4. The standard deviations are 1, 2, and 3 (in the same order). The correlation between any two is -1/4. Find the mean and variance of T = X +Y+ 2Z.
- A random variable follows a normal distribution with mean 12k and variance σ2. The probability that a RV is less than p is 0.9582. knowing that the RV exceeds 10k, the probability that the RV is less than p is 0.95. Calculate σ.Assume that you have a random variable X which is binomially distributed, and someone told you that the mean of this variable is (6) and variance is (4.2). Find P(X=5).A researcher wants to know if there is a difference between the mean amount of sleep that people get for various types of employment status. The table below shows data that was collected from a survey. Full Time Worker Part Time Worker Unemployed 6 6 7 5 6 7 8 9 9 7 6 8 8 8 8 8 8 8 6 6 8 8 7 6 9 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01α=0.01.H0: μ1=μ2=μ3H0: μ1=μ2=μ3H1:H1: At least two of the means differ from each other. For this study, we should use Select an answer 2-PropZTest 2-PropZInt 1-PropZInt 2-SampTInt 1-PropZTest T-Test χ²-Test ANOVA χ²GOF-Test TInterval 2-SampTTest The test-statistic for this data = (Please show your answer to 3 decimal places.) The p-value for this sample = (Please show your answer to 4 decimal places.) The p-value is Select an answer less than (or equal to) alpha greater…
- Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 2.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 46 customers in the first line and n₂ = 52 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.3 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = !Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.5 minutes and standard deviation of 3.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 2 customers in the first line and n₂ = 13 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.1 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P =Assume the sample variances to be continuous measurements. Find the probability that a random sample of 31 observations, from a normal population with variance of 6, will have a sample variance between 3.33 and 9,99 Select one: Oa. 0.975 Ob. 0.011 Oc 0.985 Od. 0.965